Exceptional field theory: SO(5,5)

Abzalov, Aidar; Bakhmatov, Ilya; Musaev, Edvard T.

doi:10.1007/jhep06(2015)088

Cited by 82 publications

(151 citation statements)

References 69 publications

(135 reference statements)

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“…Here we will review the E 6(6) exceptional field theory with a particular emphasis on the explicit embedding of type IIB supergravity. The exceptional field theories in higher dimensions have been constructed in [32][33][34] and the supersymmetric completions have been given in [35,36].…”

Section: Introductionmentioning

confidence: 99%

Supergravity and Exceptional Field Theory

Baguet¹,

Hohm²,

Samtleben³

2015

Proceedings of Proceedings of the Corfu Summer Institute 2014 — PoS(CORFU2014)

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We review E 6(6) exceptional field theory with a particular emphasis on the embedding of type IIB supergravity, which is obtained by picking the GL(5) × SL(2) invariant solution of the section constraint. We work out the precise decomposition of the E 6(6) covariant fields on the one hand and the Kaluza-Klein-like decomposition of type IIB supergravity on the other. Matching the symmetries, this allows to establish the precise dictionary between both sets of fields. Finally, we establish on-shell equivalence. In particular, we show how the self-duality constraint for the fourform potential in type IIB is reconstructed from the duality relations in the off-shell formulation of the E 6(6) exceptional field theory.

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Section: Introductionmentioning

confidence: 99%

Supergravity and Exceptional Field Theory

Baguet¹,

Hohm²,

Samtleben³

2015

Proceedings of Proceedings of the Corfu Summer Institute 2014 — PoS(CORFU2014)

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“…For the lower rank groups E 5(5) = D 5(5) , E 4(4) = A 4(4) , E 3(3) = A 2(2) ⊗ A 1 (1) , and E 2(2) = A 1(1) ⊗ R + , these theories have been constructed in [12][13][14][15]. Remarkably, this construction uniquely reproduces the full bosonic sectors of the higher-dimensional supergravities without any reference to the fermionic field content and supersymmetry.…”

Section: Jhep09(2016)168mentioning

confidence: 99%

“…The first term after some calculation yields 13) with the parameters given in (3.5), (3.7), (3.9) and the covariant combinatioñ…”

Section: Jhep09(2016)168mentioning

confidence: 99%

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E8(8) exceptional field theory: geometry, fermions and supersymmetry

Baguet

Samtleben

2016

J. High Energ. Phys.

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We present the supersymmetric extension of the recently constructed E 8(8) exceptional field theory -the manifestly U-duality covariant formulation of the untruncated ten-and eleven-dimensional supergravities. This theory is formulated on a (3+248) dimensional spacetime (modulo section constraint) in which the extended coordinates transform in the adjoint representation of E 8(8) . All bosonic fields are E 8(8) tensors and transform under internal generalized diffeomorphisms. The fermions are tensors under the generalized Lorentz group SO(1, 2) × SO(16), where SO(16) is the maximal compact subgroup of E 8(8) . Vanishing generalized torsion determines the corresponding spin connections to the extent they are required to formulate the field equations and supersymmetry transformation laws. We determine the supersymmetry transformations for all bosonic and fermionic fields such that they consistently close into generalized diffeomorphisms. In particular, the covariantly constrained gauge vectors of E 8(8) exceptional field theory combine with the standard supergravity fields into a single supermultiplet. We give the complete extended Lagrangian and show its invariance under supersymmetry. Upon solution of the section constraint the theory reduces to full D=11 or type IIB supergravity.

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“…The pioneering works in this direction were [4,5] by Hull, Hohm and Zwiebach who presented the background independent duality covariant formulation of the action of DFT in terms of the so-called generalized metric H MN . Soon after the same was done for the U-duality groups in [6][7][8] for the internal sector only, and in [9][10][11][12] for the full theory including p-forms. Supersymmetric extension and inclusion of fermions has been presented in [13,14] for DFT and in [15,16] for EFT.…”

Section: T-duality and Double Field Theorymentioning

confidence: 99%

Exotic branes in Double Field Theory

Musaev

2016

EPJ Web Conf.

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Abstract. The non-geometric Q-and R-monopole are shown to be a particular case of the DFT-monopole solution. The notion of magnetic charge for the solutions is defined and shown to be equal to the magnetic charge of the NS5-brane solution. This is a talk presented by the author at the conference QUARKS'16 in St.-Petersburg. T-duality and Double Field TheoryIt is known that string theory respects a hidden symmetry, called T-duality, on the quantum perturbative level. The most intuitive way of understanding the action of this symmetry is consider swapping of momentum and winding modes of a closed string on a d-torus T d . In this case the T-duality symmetry group is O (d, d). It has long been conjectured that these symmetries must carry some geometric meaning which would allow to define them on non-toroidal backgrounds.The Siegel [2] that left and right movers on the string worldsheet should be considered independently and generalizes the construction of generalized geometry by Hitchin, Cavalcanti and Gualtiery (see [3] for review and further links). The pioneering works in this direction were [4,5] by Hull, Hohm and Zwiebach who presented the background independent duality covariant formulation of the action of DFT in terms of the so-called generalized metric H MN . Soon after the same was done for the U-duality groups in [6][7][8] for the internal sector only, and in [9][10][11][12] for the full theory including p-forms. Supersymmetric extension and inclusion of fermions has been presented in [13,14] for DFT and in [15,16] for EFT.The idea behind Double Field Theory is that one doubles the space-time by adding dual coordinatesx μ corresponding to winding modes of closed strings. The resulting space-time (better to say 'space' to avoid issues with imaginary time) is parametrized by (d + d) coordinates X M = {x μ ,x μ }. The fields of the NS-NS sector, i.e. the metric, the B-field, and the dilaton, combine into the generalized metric H MN that transforms covariantly under O (d, d) transformations O and depends on all the coordinates

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Exceptional field theory: SO(5,5)

Cited by 82 publications

References 69 publications

Supergravity and Exceptional Field Theory

Supergravity and Exceptional Field Theory

E8(8) exceptional field theory: geometry, fermions and supersymmetry

Exotic branes in Double Field Theory

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